## Problem
Taking my ideas from https://github.com/neondatabase/neon/pull/6283 and
doing a bit less radical changes. smaller commits.
Proxy flow was quite deeply nested, which makes adding more interesting
error handling quite tricky.
## Summary of changes
I recommend reviewing commit by commit.
1. move handshake logic into a separate file
2. move passthrough logic into a separate file
3. no longer accept a closure in CancelMap session logic
4. Remove connect_to_db, copy logic into handle_client
5. flatten auth_and_wake_compute in authenticate
6. record info for link auth
ec8dcc2231